$g^* \omega \alpha$-Separation axioms in topological spaces

Abstract

In this paper, we introduce and study the new separation axioms called $\mathrm{g}^* \omega \alpha-T_i(\mathrm{i}=0,1,2)$ and weaker forms of regular and normal spaces called $\mathrm{g}^* \omega \alpha$-normal and $\mathrm{g}^* \omega \alpha$-regular spaces using $\mathrm{g}^* \omega \alpha$-closed sets in topological spaces.